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21385944 = 233619193
BaseRepresentation
bin101000110010…
…1001011011000
31111020112000000
41101211023120
520433322234
62042213000
7346530456
oct121451330
944215000
1021385944
1111087638
1271b4160
13457a208
142ba99d6
151d26899
hex14652d8

21385944 has 112 divisors (see below), whose sum is σ = 63612600. Its totient is φ = 6718464.

The previous prime is 21385937. The next prime is 21385951. The reversal of 21385944 is 44958312.

It is an interprime number because it is at equal distance from previous prime (21385937) and next prime (21385951).

It is a super-2 number, since 2×213859442 = 914717201542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21385899 and 21385908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 110712 + ... + 110904.

Almost surely, 221385944 is an apocalyptic number.

21385944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21385944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31806300).

21385944 is an abundant number, since it is smaller than the sum of its proper divisors (42226656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21385944 is a wasteful number, since it uses less digits than its factorization.

21385944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 21385944 is about 4624.4939182574. The cubic root of 21385944 is about 277.5723113234.

The spelling of 21385944 in words is "twenty-one million, three hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 193 216 228 243 324 342 386 456 486 513 579 648 684 729 772 972 1026 1158 1368 1458 1539 1544 1737 1944 2052 2316 2916 3078 3474 3667 4104 4617 4632 5211 5832 6156 6948 7334 9234 10422 11001 12312 13851 13896 14668 15633 18468 20844 22002 27702 29336 31266 33003 36936 41688 44004 46899 55404 62532 66006 88008 93798 99009 110808 125064 132012 140697 187596 198018 264024 281394 297027 375192 396036 562788 594054 792072 891081 1125576 1188108 1782162 2376216 2673243 3564324 5346486 7128648 10692972 21385944